Question

solve log to the base 5 into log to the base 2into log to the base 3 into log to the base2 into 512

Answer 1

$log_{5}( log_{2}( log_{3}( log_{2}(512) ) ) )$
$= log_{5}( log_{2}( log_{3}(9) ) )$
$= log_{5}( log_{2}(2) )$
$= log_{5}(1)$
$= 0$